Question

In the given figure, if AB || DC, find the value of 'x'.​

Answer 1

Answer:

x = 7

Step-by-step explanation:

Here ΔAOB is similar to ΔCOD because

∠CDO=∠OBA (Alternate interior angle an equal in ∥ lines)

∠DCO=∠OAB (Alternate interior angle an equal in ∥ lines)

∠DOC=∠AOB (opposite angles are equal)

So its similar by (AAA)

(Angle Angle Angle ) criteria.

So ΔAOB∼ΔCOD

CO = AO

DO = BO (from similatrily properly)

x+3/x+5 = x−2/x−1

(x+5)(x−2)=(x−1)(x+3)

x²-2x+5x-10 = x²+3x-x-3

x = 7